The motivic Adams-Novikov spectral sequence at odd primes over $\mathbb{C}$ and $\mathbb{R}$

Abstract

We study the motivic Adams-Novikov spectral sequence at an odd prime $l$ over the base fields $\mathbb{C}$ and $\mathbb{R}$. This spectral sequence converges to the stable motivic homotopy groups of the $l$-completed motivic sphere spectrum. We show that the spectral sequence is determined by the topological Adams-Novikov sequence, similar to the situation at the prime two over the base field $\mathbb{C}$.

References in corpus (1)

• Motivic and Real Etale Stable Homotopy Theory

Cited by in corpus (2)

• C_2-equivariant stable homotopy from real motivic stable homotopy
• Moduli stack of oriented formal groups and cellular motivic spectra over $\mathbf{C}$